What is the Greatest Common Factor of 79002 and 79013?

Greatest common factor (GCF) of 79002 and 79013 is 11.

GCF(79002,79013) = 11

We will now calculate the prime factors of 79002 and 79013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79002 and 79013.

How to find the GCF of 79002 and 79013?

We will first find the prime factorization of 79002 and 79013. After we will calculate the factors of 79002 and 79013 and find the biggest common factor number .

Step-1: Prime Factorization of 79002

Prime factors of 79002 are 2, 3, 7, 11, 19. Prime factorization of 79002 in exponential form is:

79002 = 2¹ × 3³ × 7¹ × 11¹ × 19¹

Step-2: Prime Factorization of 79013

Prime factors of 79013 are 11, 653. Prime factorization of 79013 in exponential form is:

79013 = 11² × 653¹

Step-3: Factors of 79002

List of positive integer factors of 79002 that divides 79002 without a remainder.

1, 2, 3, 6, 7, 9, 11, 14, 18, 19, 21, 22, 27, 33, 38, 42, 54, 57, 63, 66, 77, 99, 114, 126, 133, 154, 171, 189, 198, 209, 231, 266, 297, 342, 378, 399, 418, 462, 513, 594, 627, 693, 798, 1026, 1197, 1254, 1386, 1463, 1881, 2079, 2394, 2926, 3591, 3762, 4158, 4389, 5643, 7182, 8778, 11286, 13167, 26334, 39501

Step-4: Factors of 79013

List of positive integer factors of 79013 that divides 79002 without a remainder.

1, 11, 121, 653, 7183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79002 and 79013. The biggest common factor number is the GCF number.
So the greatest common factor 79002 and 79013 is 11.

Also check out the Least Common Multiple of 79002 and 79013